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  1. 040 理学部
  2. 0401 学術論文

Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials

http://hdl.handle.net/10091/00020583
http://hdl.handle.net/10091/00020583
084b616a-52ff-4f83-ad1c-7fd64f811f59
名前 / ファイル ライセンス アクション
sigma17-020.pdf sigma17-020.pdf (346.6 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2018-05-08
タイトル
言語 en
タイトル Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials
言語
言語 eng
キーワード
主題Scheme Other
主題 multi-indexed orthogonal polynomials
キーワード
主題Scheme Other
主題 Laguerre and Jacobi polynomials
キーワード
主題Scheme Other
主題 Wronskian formula
キーワード
主題Scheme Other
主題 determinant formula
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Odake, Satoru

× Odake, Satoru

WEKO 105512

Odake, Satoru

Search repository
Sasaki, Ryu

× Sasaki, Ryu

WEKO 105513

Sasaki, Ryu

Search repository
信州大学研究者総覧へのリンク
氏名 Odake, Satoru
URL http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html
出版者
出版者 NATL ACAD SCI UKRAINE, INST MATH
引用
内容記述タイプ Other
内容記述 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. 13(0):020 (2017)
書誌情報 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

巻 13, p. 020, 発行日 2017-01
抄録
内容記述タイプ Abstract
内容記述 The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial.
資源タイプ(コンテンツの種類)
内容記述タイプ Other
内容記述 Article
ISSN
収録物識別子タイプ ISSN
収録物識別子 1815-0659
DOI
識別子タイプ DOI
関連識別子 https://doi.org/10.3842/SIGMA.2017.020
関連名称 10.3842/SIGMA.2017.020
権利
権利情報 The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
WoS
表示名 Web of Science
URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000399290700001
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